An architect drew plans for an office building. The building will have the dimensions shown below

Answer:

slope is -2

Step-by-step explanation:

1. go to geogebra.org/classic (this is a graphing calculator)

2. enter your two points by using the second button on the top of the screen

3. connect a line from one point to the other using the 3rd button on the top of the screen

4. click on the line and it shall tell you the equation, including the slope :O))))

the slope is -2 and the equation is y = -2x + 18

Answer:

-4/2 = -2/1 = -2

Step-by-step explanation:

Slope is rise/run or as the formula states, Y2 - Y1 / X2 - X1

If you substitute the known values into this formula, you will get

4 - 8 / 7 - 5

This simplifies to

-4 / 2

You can then simplify further if needed:

-4/2 = -2/1 = -2

Answer:

The family has 1/4 of the strawberries left to snack on, or 31 left to snack on.

Step-by-step explanation:

Since they gave away 1/4 of the strawberries to their neighbor, and the others were used in a pie, that means that 1/4 of the strawberries remain. You do 124/4 in which 1/4 of that is 31, since 31x4 is equal to 124.

Arithmetic

This number is rational.

They both equal the same thing

(6 x 3) x 2 = 36

6 x(3 x 2) = 36

Answer: 240 feet

Step-by-step explanation:

What you could do is find the area of the whole thing. 12x25 is 300. Then, you can find the area of the white part, which is 60, because you multiply 12x5. then, you would subtract 60 to 300, which would get you to 240 feet.

Answer:

The answer is : 240cm² for the shaded part

The unshaded part is = 60cm²

The whole rectangle = 300cm²

Step-by-step explanation:

Area is = WL

W = width (while the) L= length

The Area = 25 × 12 = 300

The area of the full rectangle is = 300

The unshaded part is = 5 × 12 = 60

So the shaded part is = 300 - 60 = 240cm²

[tex]so \: the \: answer \: is \: = 240cm^{2} [/tex]

Answer:

The 95% confidence interval is [tex]0.231 \pm 1.96\sqrt{\frac{0.231*0.769}{432}}[/tex]

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

A random sample of 432 voters revealed that 100 are in favor of a certain bond issue.

This means that [tex]n = 432, \pi = \frac{100}{432} = 0.231[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

Confidence interval:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.231 \pm 1.96\sqrt{\frac{0.231*0.769}{432}}[/tex]

The 95% confidence interval is [tex]0.231 \pm 1.96\sqrt{\frac{0.231*0.769}{432}}[/tex]

Answer:

x = 32

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

100 = 68+x

Subtract 68 from each side

100 -68 = x

32 =x

[tex]\huge\bold{Given :}[/tex]

Angle AOB = 100°

Angle OBC = 68°

Angle BCO = [tex]x°[/tex]

[tex]\huge\bold{To\:find :}[/tex]

The value of [tex]x°[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {C.\:x°\:=\:32°}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

An exterior angle of a triangle is equal to sum of two opposite interior angles.

And so we have,

➪ ∠ AOB = ∠ OBC + ∠ BCO

➪ 100° = 68° + [tex]x°[/tex]

➪ [tex]x°[/tex] = 100° - 68°

➪ [tex]x°[/tex] = 32°

Therefore, the value of [tex]x°[/tex] is 32°.

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

∠ AOB = ∠ OBC + ∠ BCO

✒ 100° = 68° + 32°

✒ 180° = 100°

✒ L. H. S. = R. H. S.

[tex]\boxed{Hence\:verified.}[/tex]

(Note: Kindly refer to the attached file.)

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}[/tex]

Answer:

x<-2 ^;;:%%^^^::"%%^::::%^&&;::%^^^;::^^^&;;:%^_

Leeza did make an error. She also needs to multiply -5 by 3

4x = 7+6x -15

OPTION B

Answer:

leeza made an error she should have also multiplied -5 with three

Step-by-step explanation:

4x=7+3(2x-5)

4x=7+6x-15

4x=6x-8

eight goes to the other side of the equal sign and becomes positive 4x goes to the other side of equal sign and becomes negative

8=6x-4x

8/2=2x/2

4=x  answer.

Это ДУ Бернулли, все детали на фото.

Answer:

A = $174,742.21

A = P + I where

P (principal) = $100,000.00

I (interest) = $74,742.21

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 8/100

r = 0.08 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 100,000.00(1 + 0.08/12)(12)(7)

A = 100,000.00(1 + 0.006666667)(84)

A = $174,742.21

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $100,000.00 at a rate of 8% per year compounded 12 times per year over 7 years is $174,742.21.

Answer:

[tex]volume \: of \: the \: rectriangular \: prism = ( \frac{1}{2} \times base \times 4) \times 2 \\ 4 \times base = 40 \\ base = 10m[/tex]

Answer:

length = 15 meters

Step-by-step explanation:

Volume of a pyramid is:

V = l*w (h/3)

We know that; Volume is 40, Width is 2, and Height is 4, therefore;

40 = l*2 (4/3)

40 = 2l (4/3)

(3/4) * 40 = 2L

30 = 2L

30/2 = L

15 = L

therefore the length = 15 meters

Hope this helps!

Answer: Georgia, California, New York, Minnesota

Answer:

61

56+5=61

It says 'how many apples does she have TOMMOROW'

So it might be a trick question

or not :)

Answer:61

Step-by-step explanation:

Since its not specific, we can only hope to use our logic, suggesting that Anna doesn’t eat any apples until the next day she would have 61 apples.

Answer:

A

Step-by-step explanation:

I believe this is correct.

Answer:

0.04

Step-by-step explanation:

For a density curve, total area = 1

Probability lies in between 0 and 1

The Area of triangle :

Area = 1/2 base * height

Base = 0 - 50 = 50

Area = 1

Hence,

1 = 1/2 * 50 * h

1 = 50h / 2

2 = 50h

h = 2 / 50

h = 0.04

Answer:

The number is 0.75

Step-by-step explanation:

Analyze the question one statement at a time:

Let the number be [tex]x[/tex]

Subtract 2; [tex]x - 2[/tex]

Multiply by 5: [tex](x - 2) * 5[/tex]

The result equals [tex]x - 7[/tex]

Required

Find the number (x)

The equation to work with is:

[tex](x - 2) * 5 = x - 7[/tex]

Open bracket

[tex]5x - 10 = x - 7[/tex]

Collect like terms

[tex]5x - x = 10 - 7[/tex]

[tex]4x = 3[/tex]

Divide both sides by 4

[tex]x = \frac{3}{4}[/tex]

[tex]x = 0.75[/tex]

Answer:

I think n=4 hope this helps :)

Step-by-step explanation:

Answer:

N = 4

Step-by-step explanation:

Answer:

Hello! answer: 13

Step-by-step explanation:

12 × 12 = 144

5 × 5 = 25

144 + 25 = 169

√169 = 13

13 × 13 = 169 therefore the length of the missing side is 13 hope that helps!

Answer:

x=4 :)))))))))

Step-by-step explanation:

"-+_$-5_(#-3(

Answer:

x = 4

Step-by-step explanation:

2x + 6 = 7x - 14

2x + 6 - 2x + 14 = 7x - 14 - 2x + 14 ----> To put the variables on one side and the numbers on the other side

20 = 5x --> Simplifying

x = 20/5 --> Flipping the equation and then dividing 5 on both sides

x = 4 --> Simplifying

Hope this helps explain! <3

Answer:

y = -⅓ X + 5/9

slope = - ⅓

...

Answer:

slope intercept form is: (That is in the first pic)

y= - 1/3x + 5/9

slope = - 1/3

Step-by-step explanation:

See image below:) Hope this helps

Answer:

14×4+21×2+28=126

Step-by-step explanation:

correct me if I'm wrong

Answer:

Step-by-step explanation:

5). 3x + y = 5 -------(1)

    2x - y = 10 ---------(2)

    By adding equation (1) and (2),

    (3x + y) + (2x - y) = 5 + 10

    5x = 15

    x = 3

    From equation (1),

    3(3) + y = 5

    y = -4

6). 4x + 3y = 13 -------(1)

    x + y = 4 -------(2)

    Multiply equation (2) by 3 and subtract it from equation (1)

    (4x + 3y) - (3x + 3y) = 13 - 12

    x = 1

    From equation (2),

    1 + y = 4

    y = -3

7). x - 7y = 7 -----(1)

    -3x + 21y = -21

    -3(x - 7y) = -(3 × 7)

     x - 7y = 7 -------(2)

    Since, equation (1) and (2) are same, system of the equations will have infinitely many solutions.

8). x - 3y = 12

    3y = x - 12

    [tex]y=\frac{1}{3}x-4[/tex] --------(1)

    3x - 9y = 18

    3(x - 3y) = 3(6)

    x - 3y = 6

    3y = x - 6

    [tex]y=\frac{1}{3}x-2[/tex] ----------(2)

  Slopes of both the equations are same but the y-intercepts are different.

Therefore, both the lines are parallel and the system of equations will have no solution.

Answer:

34

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

(7*8)+2-(3*8)

=34

....

9514 1404 393

Answer:

  B.  66°

Step-by-step explanation:

The remote exterior angle (z) is the sum of the measures of the interior angles (x, y).

  x + y = z

  (5n -19) +(n +7) = (144 -6n)

  12n = 156 . . . . . . . . . . . . . . . . . add 6n+12

  n = 13 . . . . . . . . . . . . . . divide by 12

Then the measure of the remote exterior angle is ...

  m∠z = (144 -6(13))° = (144 -78)°

  m∠z = 66°

__

x = 46°

y = 20°

Answer:

Let C represent the total cost of each deal  

Let T be the number of trips down the water slide

C = 32        for the 1st deal since the cost is the same regardless of how much she rides  

C = 18 + T  for the 2nd deal

To find when the two costs are equal set them equal to each other and solve for T

32 = 18 + T

T = 14  trips

The cost must be $32 since that is the only cost possible for the 1st deal  

Step-by-step explanation: